Simplifying 81/625 as a Fraction

Understanding Fraction Simplification

Fraction simplification is the process of reducing a fraction to its lowest terms, where the numerator (top number) and the denominator (bottom number) have no common factors other than 1.

Step-by-Step Simplification of 81/625

1. Find the greatest common factor (GCF) of 81 and 625.
   • The prime factorization of 81 is 3⁴
   • The prime factorization of 625 is 5⁴
   • The GCF is 1, since they have no common prime factors.
2. Divide both numerator and denominator by the GCF.

   81 / 1 = 81

   625 / 1 = 625

3. The resulting fraction, 81/625, is in its simplest form.

Conclusion

Therefore, 81/625 can be simplified to 81/625, which is already in its simplest form.

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